Question

Solve the functions for b I am having many difficulties

Answer 1

From the figure we see that the function in b, only asigns values for the points in -3, -1, 1, 3 and 4 of the x axis.

Then it's domain is

`\text{Dom}=\lbrace-3,-1,1,3,4\rbrace`

To find the range of the figure in b, we have to see what values does it take in the y axis, we notice that this values are -4, 0, 1, 4 and 5. Hence

`\text{Range=}\lbrace-4,0,1,4,5\rbrace`

In the case of c. we notice that the lines go on (that's is why it's represented by arrows). We note that if the lines go on, eventually they will take all the values on the x axis. Then

`\text{Dom=(-}\infty,\infty)`

For the range we notice that it will take all the positive values on the y axis. then

`\text{Range}=\lbrack0,\infty)`

In the case of the function a, we notice that the function assigns values to every point from -4 to 4 on the x axis. Then we can conclude that the domain is

`\text{Domain=}\lbrack-4,4\rbrack`

We also notice that the values that y takes are from 0 to 4, therefore

`\text{Range}=\lbrack0,-4\rbrack`